A general proof of the conservation of the curvature perturbation

A general proof of the conservation of the curvature perturbation
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DOI:
10.1088/1475-7516/2005/05/004
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发表时间:
2004-11
影响因子:
6.4
通讯作者:
D. Lyth;Karim A. Malik;M. Sasaki
D. Lyth;Karim A. Malik;M. Sasaki
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
D. Lyth;Karim A. Malik;M. Sasaki

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在不引用微扰展开的情况下,我们定义了宇宙曲率微扰,并考虑了它的行为,假设宇宙在足够大的自转尺度上是光滑的。这些方程很简单,与一阶方程非常相似,它们得到的结果推广了已在线性摄动理论和(部分)二阶摄动理论中证明的结果。特别地,假设压强是能量密度的唯一函数,曲率微扰是守恒的。
Without invoking a perturbative expansion, we define the cosmological curvature perturbation, and consider its behaviour assuming that the universe is smooth over a sufficiently large comoving scale. The equations are simple, resembling closely the first-order equations, and they lead to results which generalize those already proven in linear perturbation theory and (in part) in second-order perturbation theory. In particular, the curvature perturbation is conserved provided that the pressure is a unique function of the energy density.